What is sqrt(1-x^2)\times sqrt(1-x^2) ?

The solution to sqrt(1-x^2)\times sqrt(1-x^2) is 1-x^2

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simplify sqrt(1-x^2)\times sqrt(1-x^2)

simplify

1 - x^{2} \cdot 1 - x^{2}

1 - x^{2}

Solution steps

1 - x^{2} 1 - x^{2}

Apply radical rule:

a a = a,

assuming

a \geq 0

1 - x^{2} 1 - x^{2} = 1 - x^{2}

= 1 - x^{2}

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What is sqrt(1-x^2)\times sqrt(1-x^2) ?
The solution to sqrt(1-x^2)\times sqrt(1-x^2) is 1-x^2